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Finding the Fourth Proportional to 23,676.14, 32,674.04 and 13,607.74

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Solution

The fourth proportional to 23,676.14, 32,674.04 and 13,607.74 is: 18,779.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,676.14 : 32,674.04 = 13,607.74 : x
  2. Step 2: Convert to fraction form
    23,676.14/32,674.04 = 13,607.74/x
  3. Step 3: Cross multiply
    23,676.14x = 32,674.04 × 13,607.74
  4. Step 4: Simplify right side
    23,676.14x = 444,619,841.07
  5. Step 5: Solve for x
    x = 444,619,841.07/23,676.14
  6. Step 6: Final answer
    x = 18,779.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.